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Finding the Third Proportional to 15,919.50 and 34,576.50

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Solution

The third proportional to 15,919.50 and 34,576.50 is: 75,098.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,919.50 : 34,576.50 = 34,576.50 : x
  2. Step 2: Convert to fraction form
    15,919.50/34,576.50 = 34,576.50/x
  3. Step 3: Cross multiply
    15,919.50x = 34,576.50 × 34,576.50
  4. Step 4: Simplify right side
    15,919.50x = 1,195,534,352.25
  5. Step 5: Solve for x
    x = 1,195,534,352.25/15,919.50
  6. Step 6: Final answer
    x = 75,098.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.